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Finding the Fourth Proportional to 1,603.70, 2,403.41 and 823.67

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Solution

The fourth proportional to 1,603.70, 2,403.41 and 823.67 is: 1,234.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.70 : 2,403.41 = 823.67 : x
  2. Step 2: Convert to fraction form
    1,603.70/2,403.41 = 823.67/x
  3. Step 3: Cross multiply
    1,603.70x = 2,403.41 × 823.67
  4. Step 4: Simplify right side
    1,603.70x = 1,979,604.70
  5. Step 5: Solve for x
    x = 1,979,604.70/1,603.70
  6. Step 6: Final answer
    x = 1,234.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.